Example 2.8 
Let \(G\)  be a locally compact topological group and \(H\)  be any compact group.
For any continuous affine action [1]} \(\pi \)  of \(H\)  on \(G\) , consider the orbit space \(\mathcal {O} := \lbrace x^H : x \in G\rbrace \) , where \(x^H = \mathcal {O}(x) = \lbrace \pi (h, x): h\in H\rbrace \) .
